Question

Super J-mart will sell 5 large jars and 2 small jars of their jelly for $19. They will also sell 2 large jars and 5 small jars for $16. What is the price of each jar?

Answer 1

Price for large jar = 3 dollars

Price for small jar = 2 dollars

Explanation:

5x + 2y = 19

2x + 5y = 16

Answer 2

Assuming large jars = x, small jars = y


`5x + 2y = 19 \\ 2x + 5y = 16`


`5x + 2y = 19 \\ 2y = 19 - 5x \\ y = (19)/(2) - (5)/(2) x`

Substitute that into

`2x + 5( (19)/(2) - (5)/(2) x) = 16 \\ 2x + (95)/(2) - (25)/(2) x = 16 \\10.5x = 31.5 \\ x = 3`

Substitute x = 3 into

`y = (19)/(2) - (5)/(2)( 3 )\\ y = (4)/(2) \\ y = 2`

Price for each large jar = $3
Price for each small jar = $2

Hope this helps. - M